Details

sample41.0ms

Algorithm

intervals

Results

16.0ms	71×	body	1280	valid
9.0ms	56×	body	640	valid
3.0ms	31×	body	320	valid
2.0ms	83×	body	80	valid
2.0ms	74×	body	80	overflowed
1.0ms	15×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.2b

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
3.9b	(- (exp x) 1.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

8.0ms	(/ (exp x) (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)

series44.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (exp x) (- (exp x) 1.0))
14.0ms	(- (exp x) 1.0)

simplify67.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	180	378
1	542	357
2	2210	354
3	5001	354

prune119.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
0.0b	(+ (* 1/12 x) (/ 1 x))
0.3b	(* 1/12 x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

20.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
6.0ms	(+ (* 1/12 x) (/ 1 x))
3.0ms	(* 1/12 x)

series71.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
38.0ms	(+ (* 1/12 x) (/ 1 x))
14.0ms	(* 1/12 x)

simplify103.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	200	216
1	705	205
2	3820	204
3	5002	204

prune79.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
3.9b	(- 1 (/ 1.0 (exp x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 97

Calls

3 calls:

3.0ms	(/ 1.0 (exp x))
21.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
8.0ms	(- 1 (/ 1.0 (exp x)))

series101.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ 1.0 (exp x))
53.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
35.0ms	(- 1 (/ 1.0 (exp x)))

simplify38.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	310	724
1	1324	622
2	5002	621

prune150.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt 1.0) (sqrt (exp x)))
0.0b	(/ (sqrt 1.0) (sqrt (exp x)))
0.0b	(* (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))) (- 1 (/ (sqrt 1.0) (sqrt (exp x)))))
4.0b	(- 1 (/ (sqrt 1.0) (sqrt (exp x))))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

110×	`add-sqr-sqrt`
100×	`sqrt-prod`
88×	`times-frac`
78×	`*-un-lft-identity`
62×	`add-cube-cbrt`
20×	`difference-of-squares`
14×	`associate-r`
12×	`associate-/r` `associate-/l`
10×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`frac-times` `flip3--` `associate-l` `flip--`
3×	`sub-neg` `flip3-+` `flip-+`
2×	`cbrt-undiv` `distribute-rgt-in` `sqrt-undiv` `frac-2neg` `distribute-lft-in` `associate-r/` `div-exp` `associate-l/` `clear-num` `div-inv` `distribute-lft-out--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 187

Calls

4 calls:

5.0ms	(/ (sqrt 1.0) (sqrt (exp x)))
5.0ms	(/ (sqrt 1.0) (sqrt (exp x)))
143.0ms	(* (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))) (- 1 (/ (sqrt 1.0) (sqrt (exp x)))))
20.0ms	(- 1 (/ (sqrt 1.0) (sqrt (exp x))))

series329.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ (sqrt 1.0) (sqrt (exp x)))
56.0ms	(/ (sqrt 1.0) (sqrt (exp x)))
160.0ms	(* (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))) (- 1 (/ (sqrt 1.0) (sqrt (exp x)))))
63.0ms	(- 1 (/ (sqrt 1.0) (sqrt (exp x))))

simplify67.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	415	2119
1	2040	1917
2	5001	1843

prune370.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

97.1% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	15
1	25	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

520.0ms	2252×	body	1280	valid
255.0ms	1637×	body	640	valid
88.0ms	2880×	body	80	valid
88.0ms	826×	body	320	valid
76.0ms	2512×	body	80	overflowed
28.0ms	405×	body	160	valid